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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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Application +4 | -1
At 0∘C0^{\circ} \mathrm{C}, the densities of a cork and a liquid in which the cork floats are d1\mathrm{d}_1 and d2\mathrm{d}_2 respectively. The coefficients of expansion for the material of the cork and the liquid are γ\gamma and 100γ100 \gamma respectively. If the cork sinks when temperature of liquid is t∘C\mathrm{t}^{\circ} \mathrm{C}, then ratio (d2/d1)\left(\mathrm{d_2 / d}_1\right) is
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Correct option: A
1+100γt1+γt\frac{1+100 \gamma \mathrm{t}}{1+\gamma \mathrm{t}}
Option A (1+100γt1+γt\frac{1+100 \gamma \mathrm{t}}{1+\gamma \mathrm{t}}) is correct because it represents the ratio of densities required for the cork to sink at temperature t, considering thermal expansion.

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